Finding the Third Proportional to 10,506 and 22,962

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506 : 22,962 = 22,962 : x
2. Step 2: Convert to fraction form
   10,506/22,962 = 22,962/x
3. Step 3: Cross multiply
   10,506x = 22,962 × 22,962
4. Step 4: Simplify right side
   10,506x = 527,253,444
5. Step 5: Solve for x
   x = 527,253,444/10,506
6. Step 6: Final answer
   x = 50,185.94